Search a number
-
+
333013020131130 = 235397267131046711
BaseRepresentation
bin100101110110111111010001…
…0110001010011111100111010
31121200002201210221120210222020
41023231332202301103330322
5322122041131123144010
63140132023001335310
7130100253036544353
oct11355764261237472
91550081727523866
10333013020131130
11971210352614a9
12314241a2797536
13113a7cba973961
145c33cb7da4d2a
152877675e58470
hex12edfa2c53f3a

333013020131130 has 64 divisors (see below), whose sum is σ = 801275185329408. Its totient is φ = 88576385103360.

The previous prime is 333013020131107. The next prime is 333013020131147. The reversal of 333013020131130 is 31131020310333.

It is a super-2 number, since 2×3330130201311302 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 333013020131130.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 317628475 + ... + 318675185.

It is an arithmetic number, because the mean of its divisors is an integer number (12519924770772).

Almost surely, 2333013020131130 is an apocalyptic number.

333013020131130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

333013020131130 is an abundant number, since it is smaller than the sum of its proper divisors (468262165198278).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

333013020131130 is a wasteful number, since it uses less digits than its factorization.

333013020131130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073831.

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 333013020131130 its reverse (31131020310333), we get a palindrome (364144040441463).

The spelling of 333013020131130 in words is "three hundred thirty-three trillion, thirteen billion, twenty million, one hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 397 794 1191 1985 2382 3970 5955 11910 26713 53426 80139 133565 160278 267130 400695 801390 1046711 2093422 3140133 5233555 6280266 10467110 10605061 15700665 21210122 31401330 31815183 53025305 63630366 106050610 159075915 318151830 415544267 831088534 1246632801 2077721335 2493265602 4155442670 6233164005 12466328010 27960790943 55921581886 83882372829 139803954715 167764745658 279607909430 419411864145 838823728290 11100434004371 22200868008742 33301302013113 55502170021855 66602604026226 111004340043710 166506510065565 333013020131130